This text is devoted to the positive multivariable 1D and 2D linear, time-invariant, finite-dimensional system. The book is based on the author's lectures for Ph.D. students, delivered at Warsaw University of Technology in the academic year 1999/2000. The book consists of two parts; the first part is devoted to the 1D positive linear systems and the second to the 2D positive linear systems described by the Rosser model and the Fornasini-Marchesini models. Definitions, basic properties and theorems concerning positive matrices and graphs are presented; the externally and internally positive linear continuous-time and discrete-time linear systems are considered; and the reachability, controlability and observability of positive linear systems are discussed. The realisation problem for positive 1D and 2D systems is also considered, and the 2D models of externally and internally positive and their properties and controllability and minimum energy control of positive 2D systems are investigated.

Child and family welfare systems confront the problems of families throughout the world on a daily basis. Whilst there may be differences between nations and organisations, there are also similarities. This book presents a comparative study of child and family welfare models in the developed nations.

A complete study on an important class of linear dynamicalsystems-positive linear systems One of the most often-encountered systems in nearly all areas ofscience and technology, positive linear systems is a specific butremarkable and fascinating class. Renowned scientists LorenzoFarina and Sergio Rinaldi introduce readers to the world ofpositive linear systems in their rigorous but highly accessiblebook, rich in applications, examples, and figures. This professional reference is divided into three main parts: Thefirst part contains the definitions and basic properties ofpositive linear systems. The second part, following the theoreticalexposition, reports the main conceptual results, consideringapplicable examples taken from a number of widely used models. Thethird part is devoted to the study of some classes of positivelinear systems of particular relevance in applications (such as theLeontief model, the Leslie model, the Markov chains, thecompartmental systems, and the queueing systems). Readers familiarwith linear algebra and linear systems theory will appreciate theway arguments are treated and presented. Extraordinarily comprehensive, Positive Linear Systemsfeatures: * Applications from a variety of backgrounds including modeling,control engineering, computer science, demography, economics,bioengineering, chemistry, and ecology * References and annotated bibliographies throughout the book * Two appendices concerning linear algebra and linear systemstheory for readers unfamiliar with the mathematics used Farina and Rinaldi make no effort to hide their enthusiasm for thetopics presented, making Positive Linear Systems: Theory andApplications an indispensable resource for researchers andprofessionals in a broad range of fields.

This book provides a systematic, rigorous and self-contained treatment of positive dynamical systems. A dynamical system is positive when all relevant variables of a system are nonnegative in a natural way. This is in biology, demography or economics, where the levels of populations or prices of goods are positive. The principle also finds application in electrical engineering, physics and computer sciences. "The author has greatly expanded the field of positive systems in surprising ways." - Prof. Dr. David G. Luenberger, Stanford University(USA)

The book focuses on analysis and design for positive stochastic jump systems. By using multiple linear co-positive Lyapunov function method and linear programming technique, a basic theoretical framework is formed toward the issues of analysis and design for positive stochastic jump systems. This is achieved by providing an in-depth study on several major topics such as stability, time delay, finite-time control, observer design, filter design, and fault detection for positive stochastic jump systems. The comprehensive and systematic treatment of positive systems is one of the major features of the book, which is particularly suited for readers who are interested to learn non-negative theory. By reading this book, the reader can obtain the most advanced analysis and design techniques for positive stochastic jump systems.

This volume contains both invited lectures and contributed talks presented at the meeting on Total Positivity and its Applications held at the guest house of the University of Zaragoza in Jaca, Spain, during the week of September 26-30, 1994. There were present at the meeting almost fifty researchers from fourteen countries. Their interest in thesubject of Total Positivity made for a stimulating and fruitful exchange of scientific information. Interest to participate in the meeting exceeded our expectations. Regrettably, budgetary constraints forced us to restriet the number of attendees. Professor S. Karlin, of Stanford University, who planned to attend the meeting had to cancel his participation at the last moment. Nonetheless, his almost universal spiritual presence energized and inspired all of us in Jaca. More than anyone, he influenced the content, style and quality of the presentations given at the meeting. Every article in these Proceedings (except some by Karlin hirnself) references his influential treatise Total Positivity, Volume I, Stanford University Press, 1968. Since its appearance, this book has intrigued and inspired the minds of many researchers (one of us, in his formative years, read the galley proofs and the other of us first doubted its value but then later became its totally committed disciple). All of us present at the meeting encourage Professor Karlin to return to the task of completing the anxiously awaited Volume 11 of Total Positivity.

Positive psychology advocates for nurturing, promoting, and directing our attention towards the positive aspects of ourselves to achieve happiness and well-being. This textbook is meticulously crafted to fulfil this objective by providing a comprehensive exploration of concepts, principles, and theories of positive psychology. Presented in an accessible and user-friendly manner, the book facilitates meaningful discussions on topics aligned with the prescribed syllabi of Indian universities offering undergraduate and postgraduate courses in positive psychology. Moreover, it addresses the longstanding need within the positive psychology community for a text that incorporates an Indian perspective, catering to the specific requirements of students and faculty. Beyond academia, the textbook serves as a valuable resource for counsellors, practitioners, and anyone interested in leveraging positive psychology for personal fulfilment and happiness. By offering both theoretical insights and practical applications, it equips readers with the tools to enhance their well-being and thrive in various aspects of life. KEY FEATURES • Comprehensive coverage of topics aligned with the syllabi of Positive psychology courses offered by most Indian universities and higher institutions, for both undergraduate and postgraduate levels. • Subject matter presented in a coherent and seamlessly synthesised manner, facilitating ease of understanding. • Adequately illustrated with examples, case studies, figures, tables, and boxed items to enhance comprehension and engagement. • Deliberate effort made to clarify terms and concepts within each chapter through concise explanations in boxed material. • Each chapter concludes with a summary for quick recapitulation of the topics covered, followed by a set of review questions and then ending with a list of references cited within the chapter. TARGET AUDIENCE • BA/B.Sc. Psychology • M.A./M.Sc. Psychology

In the era of COVID-19, many people have suffered high levels of stress and mental health problems. To cope with the widespread of suffering (physical, psychological, social, and economical) the positive psychology of personal happiness is no longer the sole approach to examine personal wellbeing. Other approaches such as Viktor Frankl’s theory of self-transcendence provide a promising framework for research and intervention on how to achieve resilience, wellbeing, and happiness through overcoming suffering and self-transcendence. The existential positive psychology of suffering complements the positive psychology of happiness, which is championed by Martin Seligman, as two equal halves of the circle of wellbeing and optimal mental health. This Research Topic aims to examine the different approaches to Positive Psychology and their influence on individual wellbeing during the COVID-19 era. One of the exciting development in the positive psychology of wellbeing is the mounting research on the adaptive benefits of negative emotions, such as shame, guilt, and anger, as well as the dialectical process of balancing negative and positive emotions. As an example, based on all the empirical research and Frankl’s self-transcendence model, Wong has developed the existential positive psychology of suffering (PP2.0) as the foundation for flourishing. Here are a few main tenets of PP2.0: (1) Life is suffering and a constant struggle throughout every stage of development, (2) The search for self-transcendence is a primary motive guided by the meaning mindset and mindful mindset. (3) Wellbeing cannot be sustainable without overcoming and transforming suffering. In this Research Topic we welcome diverse approaches discussing the following points: • The dialectic process of overcoming the challenges of every stage of development as necessary for personal growth and self-transcendence; • The role of self-transcendence in resilience, virtue, meaning, and happiness; • The upside of negative emotions; • The new science of resilience based on cultivating the resilient mindset and character; • How to make the best use of suffering to achieve out potentials & mental health.

Considerable research has been devoted to understanding how positive emotional processes influence our thoughts and behaviors, and the resulting body of work clearly indicates that positive emotion is a vital ingredient in our human quest towards well-being and thriving. Yet the role of positive emotion in psychopathology has been underemphasized, such that comparatively less scientific attention has been devoted to understanding ways in which positive emotions might influence and be influenced by psychological disturbance. Presenting cutting-edge scientific work from an internationally-renowned group of contributors, The Oxford Handbook of Positive Emotion and Psychopathology provides unparalleled insight into the role of positive emotions in mental health and illness. The book begins with a comprehensive overview of key psychological processes that link positive emotional experience and psychopathological outcomes. The following section focuses on specific psychological disorders, including depression, anxiety, trauma, bipolar disorder, and schizophrenia, as well as developmental considerations. The third and final section of the Handbook discusses translational implications of this research and how examining populations characterized by positive emotion disturbance enables a better understanding of psychiatric course and risk factors, while simultaneously generating opportunities to bridge gaps between basic science models and psychosocial interventions. With its rich and multi-layered focus, The Oxford Handbook of Positive Emotion and Psychopathology will be of interest to researchers, teachers, and students from a range of disciplines, including social psychology, clinical psychology and psychiatry, biological psychology and health psychology, affective science, and neuroscience.