LEADER 04262nam 22006615 450 001 9910300536903321 005 20200630125453.0 010 $a981-10-8046-1 024 7 $a10.1007/978-981-10-8046-3 035 $a(CKB)4100000006999536 035 $a(MiAaPQ)EBC5540878 035 $a(DE-He213)978-981-10-8046-3 035 $a(PPN)231458541 035 $a(EXLCZ)994100000006999536 100 $a20181004d2018 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aTheory of Hybrid Systems: Deterministic and Stochastic /$fby Mohamad S. Alwan, Xinzhi Liu 205 $a1st ed. 2018. 210 1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2018. 215 $a1 online resource (xvi, 241 pages) $cillustrations 225 1 $aNonlinear Physical Science,$x1867-8440 311 $a981-10-8045-3 327 $aIntroduction -- Analysis of Hybrid Systems -- Singularly Perturbed Systems (SPSs) -- Systems of Dierential Equations with Piecewise Continuous Arguments (EPCA): A Hybrid System Approach -- Reliable Control and State Estimation for Uncertain Impulsive Large-Scale Systems -- Stochastic Hybrid (Impulsive) Systems -- Stochastic Systems with EPCA -- Input-to-State Stability (ISS) for Stochastic Hybrid Systems -- Stability in Terms of Two Measures. 330 $aThis book is the first to present the application of the hybrid system theory to systems with EPCA (equations with piecewise continuous arguments). The hybrid system paradigm is a valuable modeling tool for describing a wide range of real-world applications. Moreover, although new technology has produced, and continues to produce highly hierarchical sophisticated machinery that cannot be analyzed as a whole system, hybrid system representation can be used to reduce the structural complexity of these systems. That is to say, hybrid systems have become a modeling priority, which in turn has led to the creation of a promising research field with several application areas. As such, the book explores recent developments in the area of deterministic and stochastic hybrid systems using the Lyapunov and Razumikhin?Lyapunov methods to investigate the systems? properties. It also describes properties such as stability, stabilization, reliable control, H-infinity optimal control, input-to-state stability (ISS)/stabilization, state estimation, and large-scale singularly perturbed systems. 410 0$aNonlinear Physical Science,$x1867-8440 606 $aControl engineering 606 $aSystem theory 606 $aStatistical physics 606 $aPhysics 606 $aMathematical physics 606 $aControl and Systems Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/T19010 606 $aSystems Theory, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/M13070 606 $aApplications of Nonlinear Dynamics and Chaos Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P33020 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 606 $aStatistical Physics and Dynamical Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P19090 606 $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000 615 0$aControl engineering. 615 0$aSystem theory. 615 0$aStatistical physics. 615 0$aPhysics. 615 0$aMathematical physics. 615 14$aControl and Systems Theory. 615 24$aSystems Theory, Control. 615 24$aApplications of Nonlinear Dynamics and Chaos Theory. 615 24$aMathematical Methods in Physics. 615 24$aStatistical Physics and Dynamical Systems. 615 24$aMathematical Physics. 676 $a004.259 700 $aAlwan$b Mohamad S$4aut$4http://id.loc.gov/vocabulary/relators/aut$0835971 702 $aLiu$b Xinzhi$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910300536903321 996 $aTheory of Hybrid Systems: Deterministic and Stochastic$92530994 997 $aUNINA