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Chapter 29: Control Theory 263syseflgOutputSystem data structure.When equal to 0 (default value), exits with an error if the system is mixed(continuous and discrete components); when equal to 1, print a warningif the system is mixed (continuous and discrete); when equal to 2, operatesilently.digital When equal to 0, the system is purely continuous; when equal to 1,the system is purely discrete; when equal to -1, the system is mixedcontinuous and discrete.Exits with an error if sys is a mixed (continuous and discrete) system.[retval, u] = is observable (a, c, tol)[retval, u] = is observable (sys, tol)Logical check for system observability.Default: tol = tol = 10*norm(a,’fro’)*epsReturns 1 if the system sys or the pair (a, c) is observable, 0 if not.See is_controllable for detailed description of arguments and default values.Function FileFunction Fileis sample (ts)Return true if ts is a valid sampling time (real, scalar, > 0).Function Fileis siso (sys)Function FileReturns nonzero if the system data structure sys is single-input, single-output.retval = is stabilizable (sys, tol)Function Fileretval = is stabilizable (a, b, tol, dflg)Function FileLogical check for system stabilizability (i.e., all unstable modes are controllable).Returns 1 if the system is stabilizable, 0 if the the system is not stabilizable, -1 if thesystem has non stabilizable modes at the imaginary axis (unit circle for discrete-timesystems.Test for stabilizability is performed via Hautus Lemma.discrete-time matrices (a,b) are supplied.If dflg≠0 assume thatis signal list (mylist)Return true if mylist is a list of individual strings.Function Fileis stable (a, tol, dflg)is stable (sys, tol)Returns 1 if the matrix a or the system sys is stable, or 0 if not.InputsFunction FileFunction File