Windows processes can be terminated from a delphi application using Win32 API calls. To terminate processes not owned by the current user the SE_DEBUG_NAME privilege must be set for the current process.

All sample code must include unit TlHelp32.

Sample code for activating SE_DEBUG_NAME privilege
[delphi]function NTSetPrivilege(sPrivilege: string; bEnabled: Boolean): Boolean;
var
hToken: THandle;
TokenPriv: TOKEN_PRIVILEGES;
PrevTokenPriv: TOKEN_PRIVILEGES;
ReturnLength: Cardinal;
begin
Result := True;
// Only for Windows NT/2000/XP and later.
if not (Win32Platform = VER_PLATFORM_WIN32_NT) then
Exit;

Result := False;

// obtain the processes token
if OpenProcessToken(GetCurrentProcess(),TOKEN_ADJUST_PRIVILEGES or TOKEN_QUERY, hToken) then
begin
try
// Get the locally unique identifier (LUID) .
if LookupPrivilegeValue(nil, PChar(sPrivilege),TokenPriv.Privileges[0].Luid) then
begin
TokenPriv.PrivilegeCount := 1; // one privilege to set

case bEnabled of
True: TokenPriv.Privileges[0].Attributes := SE_PRIVILEGE_ENABLED;
False: TokenPriv.Privileges[0].Attributes := 0;
end;

ReturnLength := 0; // replaces a var parameter
PrevTokenPriv := TokenPriv;

// enable or disable the privilege
AdjustTokenPrivileges(hToken, False, TokenPriv, SizeOf(PrevTokenPriv),PrevTokenPriv, ReturnLength);
end;
finally
CloseHandle(hToken);
end;
end;

// test the return value of AdjustTokenPrivileges.
Result := GetLastError = ERROR_SUCCESS;
if not Result then
raise Exception.Create(SysErrorMessage(GetLastError));
end;
Sample code for terminating processes by name of executable file

procedure Killprocess(Name:String);
var
  PEHandle,hproc: cardinal;
  PE: ProcessEntry32;
begin
  NTSetPrivilege(SE_DEBUG_NAME,True);
  PEHandle := CreateTOOLHelp32Snapshot(TH32cs_Snapprocess,0);
  if PEHandle <> Invalid_Handle_Value then
  begin
    PE.dwSize := Sizeof(ProcessEntry32);
    Process32first(PEHandle,PE);

    repeat
      if Lowercase(PE.szExeFile) = Lowercase(Pchar(Name)) then
      begin
        hproc := openprocess(Process_Terminate,false,pe.th32ProcessID);
        TerminateProcess(hproc,0);
        closehandle(hproc);
      end;
    until Process32next(PEHandle,PE)=false;
  end;
  closehandle(PEHandle);
end;[/delphi]